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Finding the Fourth Proportional to 2,297.05, 3,445.79 and 736.66

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Solution

The fourth proportional to 2,297.05, 3,445.79 and 736.66 is: 1,105.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.05 : 3,445.79 = 736.66 : x
  2. Step 2: Convert to fraction form
    2,297.05/3,445.79 = 736.66/x
  3. Step 3: Cross multiply
    2,297.05x = 3,445.79 × 736.66
  4. Step 4: Simplify right side
    2,297.05x = 2,538,358.43
  5. Step 5: Solve for x
    x = 2,538,358.43/2,297.05
  6. Step 6: Final answer
    x = 1,105.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.